%0 Journal Article
%T Virtual retractions, conjugacy separability and omnipotence
%A Henry Wilton
%J Mathematics
%D 2008
%I arXiv
%X We use wreath products to provide criteria for a group to be conjugacy separable or omnipotent. These criteria are in terms of virtual retractions onto cyclic subgroups. We give two applications: a straightforward topological proof of the theorem of Stebe that infinite-order elements of Fuchsian groups (of the first type) are conjugacy distinguished, and a proof that surface groups are omnipotent.
%U http://arxiv.org/abs/0809.2308v1